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Popular >

integral of ye^y-e^y

Solution

\int y e^{y} - e^{y} d y

Solution

e^{y} y - 2 e^{y} + C

Solution steps

\int y e^{y} - e^{y} d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y e^{y} d y - \int e^{y} d y

\int y e^{y} d y = e^{y} y - e^{y}

\int e^{y} d y = e^{y}

= e^{y} y - e^{y} - e^{y}

Simplify

= e^{y} y - 2 e^{y}

Add a constant to the solution

= e^{y} y - 2 e^{y} + C

Popular Examples

integral of (2-e^x)/(6e^{4x)}

\int \frac{2 - e ^{x}}{6 e ^{4 x}} d x

integral of sqrt(1+(2/3 x^{-1/3))^2}

\int 1 + (\frac{2}{3} x^{- \frac{1}{3}})^{2} d x

integral of 5/(8y-7)

\int \frac{5}{8 y - 7} d y

integral of ((ln(x)+2))/x

\int \frac{( ln ( x ) + 2 )}{x} d x

integral of x^3*arctan(x)

\int x^{3} \cdot arctan (x) d x

Frequently Asked Questions (FAQ)

What is the integral of ye^y-e^y ?
The integral of ye^y-e^y is e^yy-2e^y+C